Answer
$\dfrac{1}{2}$
Work Step by Step
Subtract $3$ on both sides of the equation to obtain:
$|2x-1|=0$
RECALL:
$|a|=0 \longrightarrow a=0$
Use the rule above with $a=2x-1$ to obtain:
$2x-1 = 0
\\2x = 1
\\x =\frac{1}{2}$
Thus, the solution to the given equation is $\dfrac{1}{2}$.
